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Finding the Fourth Proportional to 3,286.16, 4,931.16 and 3,259.76

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Solution

The fourth proportional to 3,286.16, 4,931.16 and 3,259.76 is: 4,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.16 : 4,931.16 = 3,259.76 : x
  2. Step 2: Convert to fraction form
    3,286.16/4,931.16 = 3,259.76/x
  3. Step 3: Cross multiply
    3,286.16x = 4,931.16 × 3,259.76
  4. Step 4: Simplify right side
    3,286.16x = 16,074,398.12
  5. Step 5: Solve for x
    x = 16,074,398.12/3,286.16
  6. Step 6: Final answer
    x = 4,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.